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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1117–1127
(Mi smj918)
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This article is cited in 2 scientific papers (total in 2 papers)
Nilpotency of the derived subgroup of a finite tangled group
A. L. Myl'nikov Krasnoyarsk State University
Abstract:
We study finite groups whose every subset containing the identity and closed with respect to the operation $x\circ y=xy^{-1}x$ is a subgroup. We prove that the derived subgroup of such a group is nilpotent, which implies that the derived length of such a group is at most three.
Keywords:
twisted subset, twisted subgroup, tangled subgroup.
Received: 16.06.2005
Citation:
A. L. Myl'nikov, “Nilpotency of the derived subgroup of a finite tangled group”, Sibirsk. Mat. Zh., 47:5 (2006), 1117–1127; Siberian Math. J., 47:5 (2006), 915–923
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https://www.mathnet.ru/eng/smj918 https://www.mathnet.ru/eng/smj/v47/i5/p1117
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Abstract page: | 277 | Full-text PDF : | 62 | References: | 61 |
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